We should all interrogate our own opinions.
Not to the point of analysis paralysis.
But yes, does this make sense, what happens if I extrapolate this principle, am I making exceptions to the rule, do I believe this is universal, are there other explanations, other confounding factors, does my conclusion follow logically, is my premise sound, are there logical fallacies in my reasoning, have I fully understood the opposing viewpoint, can I counter points with clear refutations, is there evidence, am I making assertions that can be disproved, are they being disproved...
There comes a point when you've checked yourself enough and you move on.
But yes, I interrogate myself about this, because I care more about looking myself in the mirror than being seen to hold a popular view.